硬岩中地下爆炸震源函数的数值模拟
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摘要
利用一维球对称有限差分数值计算源程序模拟了硬岩中地下强爆炸的震源函数,给出了弹性半径处的位移、径向压力波形,得到了地下爆炸的折合位移势及其源频谱。相关计算结果与已有文献给出的结果一致。同时,对介质剪切强度与地下爆炸震源强度之间的关系进行了数值分析。研究结果可为硬岩中地下强爆炸地震耦合效应的计算提供参考。
The explosion seismic source function in hard rock was numerically simulated with a one-dimensional spherical symmetric finite difference code.The following factors were calculated as the displacement and radial pressure at the elastic radius,the reduced displacement potential and source spectrum.These calculated results are in agreement with the existent results.And the relationship between seismic coupling strength and material shear strength was discussed.It is found that the seismic source strength of underground explosion decreases with the increase of material shear strength.
The explosion seismic source function in hard rock was numerically simulated with a one-dimensional spherical symmetric finite difference code.The following factors were calculated as the displacement and radial pressure at the elastic radius,the reduced displacement potential and source spectrum.These calculated results are in agreement with the existent results.And the relationship between seismic coupling strength and material shear strength was discussed.It is found that the seismic source strength of underground explosion decreases with the increase of material shear strength.
引文
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[2]Glenn L A.Afton revisited:An improved algorithmfor numerical solution of initial value problems in continuum mechanics.Part1:The one-dimensional equations[R].UCRL-52512.USA:Lawrence Livermore National Labora-tory,1978.
[3]Glenn L A,Goldstein P.Seismic decoupling with chemical and nuclear explosions in salt[J].Journal of GeophysicalResearch,1994,99(B6):11723-11730.
[4]Murphy J R,Rimer N,Stevens J L.Comment on‘Seismic decoupling with chemical and nuclear explosions in salt’[J].Journal of Geophysical Research,1996,101(B1):845-850.
[5]刘文韬,王肖钧,周钟,等.一种岩石损伤本构模型在地下强爆炸中的应用[J].爆炸与冲击,2003,23(3):207-213.LI U Wen-tao,WANG Xiao-jun,ZHOUZhong,et al.Adamage constitutive model of rocks andits applications in underground explosion[J].Explosion and Shock Waves,2003,23(3):207-213.
[6]周钟,王肖钧,肖卫国,等.花岗岩介质中地下爆炸震源函数研究[J].爆炸与冲击,2007,27(1):18-25.ZHOU Zhong,WANG Xiao-jun,XIAO Wei-guo,et al.Study onthe main characteristics of underground explosion seismic source functionin granite[J].Explosion and Shock Waves,2007,27(1):18-25.
[7]浦锡锋,张海波,田宙,等.岩石中强爆炸动力学过程数值模拟[J].岩石力学与工程学报,2005,24增刊1:5007-5012.PU Xi-feng,ZHANG Hai-bo,TIAN Zhou,et al.Numerical simulation of underground explosion in granite[J].Chinese Journal of Rock Mechanics and Engineering,2005,24suppl1:5007-5012.
[8]郝保田.地下核爆炸及其应用[M].北京:国防工业出版社,2002.
[9]Denny MD,Johnson L R.The explosion seismic source function:Models and scalinglaws reviewed[C]∥Taylor S R,et al.Explosion Source Phenomenology.Washington D C:American Geophysical Union Monograph65,1991:1-24.
[10]Glenn L A.Energy-density effects on seismic decoupling[J].Journal of Geophysical Research,1993,98:1933-1942.
[11]Snell C M,Swift R P,Marusak N L,et al.Canonical wall loading functions for decoupled cavities and contain-ment vessels[C]∥Proceedings of the Seventh Symposium on Containment of Underground Nuclear Explosions.Washington D C:Boeing Space Center East Kent,1993:23-43.
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